Mark:
You didn't answer my bear question.
"Given those directions, (They walk 10 km south, then 10 km east. Then they walk 10 km north and get back at their camp, exactly where they left.) What is the probability that their starting point was within 2000 miles of a bear?"
Actually, the bear could go west two or five kilometers and it would not make any difference -- the bear would be making a circle around the North Pole. East and West you travel along parallels which are circles equidistant from the poles. North and South you travel along meridians which are circles that cross both the north and the south poles.
There is another way to go south, west and north one kilometer and end up at the original point without starting at the North Pole*. Start 1 + 1/(2π) kilometers (approx. 1.16Km) from the South Pole. Walk one kilometer south, then one kilometer west (which is a 1 Km circle around the South Pole), and finally, one kilometer north to the starting point. However, there are no bears in Antarctica; there are only penguins.
I seem to remember you gave the definitive answer to a similar question some time back. I was so impressed that I made a copy, unfortunately that is at another office. However, I am sure you would not mind enlightening us.
LEAST VALUE
if 3x=10, then as y approaches negative infinity, 3x+4y approaches negative infinity. I think we should bury this one.
(good idea, along with a few others)
BALLS
Set aside one green and one blue. There are now 5 choices for green (0-4), 4 choices for blue (0-3), and 4 choices for red (0-3). Therefore, the total is 5*4*4 = 80.
I have, wait for itÂ…3720. This made perfect sense at the time, but then, so does your answer.
PIPES
167 minutes (reminds me of snails and wells)
Exactly.
LATE BUTTERFLY
240 minutes
Of the words listed below, one is "odd man out." This has
nothing to do with the number of vowels, consonants or
syllables.
Can you find the misfit
LUMP REAM SAGA PALM
I am just a small letter, you see,
As irrational as I can be,
Though it sounds quite insane,
When I'm squared, you'll obtain,
The negative of little me.
What am I
What has six faces
But does not wear makeup.
It also has twenty-one eyes,
But cannot see